144960768 has 108 divisors (see below), whose sum is σ = 442662948. Its totient is φ = 45465600.

The previous prime is 144960757. The next prime is 144960779. The reversal of 144960768 is 867069441.

It is an interprime number because it is at equal distance from previous prime (144960757) and next prime (144960779).

It can be written as a sum of positive squares in 2 ways, for example, as 86713344 + 58247424 = 9312^2 + 7632^2 .

It is a super-3 number, since 3×144960768³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37318 + ... + 41018.

It is an arithmetic number, because the mean of its divisors is an integer number (4098731).

Almost surely, 2^144960768 is an apocalyptic number.

144960768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221331474).

144960768 is an abundant number, since it is smaller than the sum of its proper divisors (297702180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144960768 is a wasteful number, since it uses less digits than its factorization.

144960768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 144960768 is about 12039.9654484554. The cubic root of 144960768 is about 525.3114016514.

The spelling of 144960768 in words is "one hundred forty-four million, nine hundred sixty thousand, seven hundred sixty-eight".